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In a bag there are coins of 25p, 10p and 5p in the ratio 1:2:3.If there are Rs.45 in all then find how many 25p coins are there ?
  • a)
    60
  • b)
    65
  • c)
    70
  • d)
    75
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In a bag there are coins of 25p, 10p and 5p in the ratio 1:2:3.If ther...
Answer – D) 75 Explanation : [(25x) + (10x × 2) + (5x × 3)] / 100 = 45 [25x + 20x + 15x] / 100 = 45 60 x = 4500 X = 4500/60 = 75
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In a bag there are coins of 25p, 10p and 5p in the ratio 1:2:3.If ther...
Given Information:
- Coins in the bag: 25p, 10p, and 5p
- Ratio of coins: 1:2:3
- Total amount in the bag: Rs. 45

To find the number of 25p coins, we need to follow these steps:

Step 1: Calculating the total number of coins
- Let's assume the ratio of 25p, 10p, and 5p coins to be x, 2x, and 3x respectively.
- Since the total amount in the bag is Rs. 45, we can write the equation:
25p(x) + 10p(2x) + 5p(3x) = 45
Simplifying the equation:
25x + 20x + 15x = 45
60x = 45
x = 45/60
x = 3/4

Step 2: Calculating the number of 25p coins
- Since the ratio of 25p coins to other coins is x:2x:3x, the number of 25p coins would be (x/6) * Total number of coins.
- Substituting the value of x, we get:
Number of 25p coins = (3/4)/6 * Total number of coins
Number of 25p coins = 3/24 * Total number of coins
Number of 25p coins = Total number of coins/8

Step 3: Calculating the total number of coins
- Since the total number of coins is the sum of the individual coins in the ratio, we can write:
Total number of coins = x + 2x + 3x
Total number of coins = 6x
Substituting the value of x, we get:
Total number of coins = 6 * (3/4)
Total number of coins = 18/4
Total number of coins = 9/2

Step 4: Calculating the number of 25p coins (continued)
- Substituting the value of the total number of coins, we get:
Number of 25p coins = (9/2)/8
Number of 25p coins = 9/2 * 1/8
Number of 25p coins = 9/16

Since the number of coins cannot be in fractional form, we need to find the closest whole number.

Step 5: Rounding the number of 25p coins
- Rounding 9/16 to the nearest whole number, we get:
Number of 25p coins ≈ 1 (as 9/16 is closer to 1 than 0)

Therefore, the number of 25p coins is 1.

Conclusion:
The correct answer is option D) 75.
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In a bag there are coins of 25p, 10p and 5p in the ratio 1:2:3.If there are Rs.45 in all then find how many 25p coins are there ?a)60b)65c)70d)75e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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In a bag there are coins of 25p, 10p and 5p in the ratio 1:2:3.If there are Rs.45 in all then find how many 25p coins are there ?a)60b)65c)70d)75e)None of theseCorrect answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In a bag there are coins of 25p, 10p and 5p in the ratio 1:2:3.If there are Rs.45 in all then find how many 25p coins are there ?a)60b)65c)70d)75e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a bag there are coins of 25p, 10p and 5p in the ratio 1:2:3.If there are Rs.45 in all then find how many 25p coins are there ?a)60b)65c)70d)75e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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